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I think instead of going to SEO like Forums, Directory Submission, Blog Classified go for Article submission.
and daily post in your facebook and play some contest to attract more people to your facebook page

I think instead of going to SEO like Forums, Directory Submission, Blog Classified go for Article submission.
and daily post in your facebook and play some contest to attract more people to your facebook page

No need. Just update your fanpage as much as possible and give/share interesting information regarding your business or niches that is relevant to your page. And don't forget to interact with your followers, they'll love it.

No, it is not a good idea to do SEO for a Facebook page. Facebook is a social site which is already popular. Your page is a not a website for which you have to do SEO. You have to share quality posts on your page to make it more popular among audience.

Also, you can use other social sites such as Google+ and Pinterest for promoting your Facebook page.